number of passwords w/ 3 letters followed by 2 digits

Your problem does not specify whether repetition of the letters and digits is allowed. If repetition is not allowed then your response is almost correct. I say "almost" because there are ten digits, zero included. Is the password aaa00 allowed?
 
it doesn't say either way...hmmm. i guess if it wasn't allowed it would say, right or no?
 
I agree that an absence of stated constraints means there are none.

Each of the first three characters can be any of the 26 letters of the alphabet.

Each of the last two characters can be any of the 10 digits.
 
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